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Finding the Third Proportional to 6,915,534 and 10,468,773

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Solution

The third proportional to 6,915,534 and 10,468,773 is: 15,847,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915,534 : 10,468,773 = 10,468,773 : x
  2. Step 2: Convert to fraction form
    6,915,534/10,468,773 = 10,468,773/x
  3. Step 3: Cross multiply
    6,915,534x = 10,468,773 × 10,468,773
  4. Step 4: Simplify right side
    6,915,534x = 109,595,208,125,529
  5. Step 5: Solve for x
    x = 109,595,208,125,529/6,915,534
  6. Step 6: Final answer
    x = 15,847,685.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.